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This work presents a novel realization approach to Quantum Boltzmann Machines (QBMs).
J. W. Gibbs, Elementary principles in statistical mechanics . Cambridge University Press, 1902
1902
Earlier work this paper cites.
E. Ising, “Beitrag zur Theorie des Ferromagnetismus,” Zeitschrift für Physik , vol. 31, no. 1, 1925
1925
Earlier work this paper cites.
W. Pauli, “Über Gasentartung und Paramagnetismus,” Zeitschrift für Physik , vol. 41, no. 2, 1927
1927
Earlier work this paper cites.
R. Peierls, “On Ising’s model of ferromagnetism,” Mathematical Proceedings of the Cambridge Philosophical Society , vol. 32, no. 3, 1936
1936
Earlier work this paper cites.
W. Magnus, “On the exponential solution of differential equations for a linear operator,” Communications on Pure and Applied Mathematics , vol. 7, no. 4, 1954
1954
Earlier work this paper cites.
A. McLachlan, “A variational solution of the time-dependent Schrödinger equation,” Molecular Physics , vol. 8, no. 1, 1964
1964
Earlier work this paper cites.
C. J. Thompson, “Inequality with Applications in Statistical Mechanics,” Journal of Mathematical Physics , vol. 6, no. 11, 1965
1965
Earlier work this paper cites.
S. Golden, “Lower bounds for the helmholtz function,” Phys. Rev. , vol. 137, pp. B1127–B1128, Feb 1965. [Online]. Available: https://link.aps.org/doi/10.1103/PhysRev.137.B1127
1965
Earlier work this paper cites.
J. Besag, “Statistical Analysis of Non-Lattice Data,” Journal of the Royal Statistical Society. Series D (The Statistician) , vol. 24, no. 3, 1975
1975
Earlier work this paper cites.
H. Kardestuncer, “Finite Differences,” in Discrete Mechanics A Unified Approach . Springer Vienna, 1975
1975
Earlier work this paper cites.
R. S. Dembo and T. Steihaug, “Truncated-Newton algorithms for large-scale unconstrained optimization,” Mathematical Programming , vol. 26, no. 2, pp. 190–212, 1983
1983
Earlier work this paper cites.
D. H. Ackley, G. E. Hinton, and T. J. Sejnowski, “A Learning Algorithm for Boltzmann Machines,” Cognitive Science , vol. 9, no. 1, 1985
1985
Earlier work this paper cites.
A. N. Tikhonov, A. V. Goncharsky, V. V. Stepanov, and A. G. Yagola, Numerical methods for the solution of ill-posed problems , ser. Mathematics and Its Applications. Springer, 1995
1995
Earlier work this paper cites.
F. C. R. Spieksma, “Boltzmann Machines,” in Artificial Neural Networks: An Introduction to ANN Theory and Practice , P. J. Braspenning, F. Thuijsman, and A. J. M. M. Weijters, Eds. Springer Berlin Heidelberg, 1995
1995
Earlier work this paper cites.
L. Younes, “Synchronous Boltzmann Machines can be universal approximators,” Applied Mathematics Letters , vol. 9, no. 3, 1996
1996
Earlier work this paper cites.
D. S. Abrams and S. Lloyd, “Quantum Algorithm Providing Exponential Speed Increase for Finding Eigenvalues and Eigenvectors,” Phys. Rev. Lett. , vol. 83, 1999
1999
Earlier work this paper cites.
P. C. Hansen, The L-Curve and its Use in the Numerical Treatment of Inverse Problems . WIT Press, 2000
2000
Earlier work this paper cites.
G. Ortiz, J. Gubernatis, E. Knill, and R. Laflamme, “Quantum algorithms for fermionic simulations,” Physical Review A , vol. 64, 2001
2001
Earlier work this paper cites.
J. Auer, E. Krotscheck, and S. A. Chin, “A fourth-order real-space algorithm for solving local Schrödinger equations,” The Journal of Chemical Physics , vol. 115, no. 15, 2001
2001
Earlier work this paper cites.
G. E. Hinton, “Training Products of Experts by Minimizing Contrastive Divergence,” Neural Computation , vol. 14, 2002
2002
Earlier work this paper cites.
N. Gupta, A. K. Roy, and B. M. Deb, “One-dimensional multiple-well oscillators: A time-dependent quantum mechanical approach,” Pramana , vol. 59, no. 4, 2002
2002
Earlier work this paper cites.
R. Somma, G. Ortiz, J. E. Gubernatis, E. Knill, and R. Laflamme, “Simulating physical phenomena by quantum networks,” Phys. Rev. A , vol. 65, 2002
2002
Earlier work this paper cites.
G. Brassard, P. Hoyer, M. Mosca, and A. Tapp, “Quantum Amplitude Amplification and Estimation,” Contemporary Mathematics , vol. 305, 2002
2002
Earlier work this paper cites.
M. Carreira-Perpinan and G. Hinton, “On Contrastive Divergence Learning,” Artificial Intelligence and Statistics , 2005
2005
Earlier work this paper cites.
M. Troyer and U.-J. Wiese, “Computational Complexity and Fundamental Limitations to Fermionic Quantum Monte Carlo Simulations,” Phys. Rev. Lett. , vol. 94, 2005
2005
Earlier work this paper cites.
S. Bravyi, D. DiVincenzo, R. Oliveira, and B. Terhal, “The Complexity of Stoquastic Local Hamiltonian Problems,” Quantum Information and Computation , vol. 8, 2006
2006
Earlier work this paper cites.
T. Tieleman, “Training Restricted Boltzmann Machines using Approximations to the Likelihood Gradient,” Proceedings of the 25th International Conference on Machine Learning , 2008
2008
Earlier work this paper cites.
D. Poulin and P. Wocjan, “Sampling from the Thermal Quantum Gibbs State and Evaluating Partition Functions with a Quantum Computer,” Phys. Rev. Lett. , vol. 103, 2009
2009
Earlier work this paper cites.
B. Liu and G. I. Webb, “Generative and Discriminative Learning,” in Encyclopedia of Machine Learning , C. Sammut and G. I. Webb, Eds. Boston, MA: Springer US, 2010
2010
Earlier work this paper cites.
A.-r. Mohamed and G. Hinton, “Phone recognition using Restricted Boltzmann Machines,” IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings , 2010
2010
Cited alongside, same era.
I. Sutskever and T. Tieleman, “On the Convergence Properties of Contrastive Divergence,” Proceedings of the Thirteenth International Conference on Artificial Intelligence and Statistics , vol. 9, 2010
2010
Cited alongside, same era.
N. Roux and Y. Bengio, “Deep Belief Networks Are Compact Universal Approximators,” Neural computation , vol. 22, 03 2010
2010
Cited alongside, same era.
M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information . Cambridge University Press, 2010
2010
Cited alongside, same era.
J. W. Gibbs, Elementary Principles in Statistical Mechanics: Developed with Especial Reference to the Rational Foundation of Thermodynamics , ser. Cambridge Library Collection - Mathematics. Cambridge University Press, 2010
C. A. S. Assis, A. C. M. Pereira, E. G. Carrano, R. Ramos, and W. Dias, “Restricted Boltzmann Machines for the Prediction of Trends in Financial Time Series,” in International Joint Conference on Neural Networks , 2018
2018
Later among the works it cites.
M. H. Amin, E. Andriyash, J. Rolfe, B. Kulchytskyy, and R. Melko, “Quantum Boltzmann Machine,” Phys. Rev. X , vol. 8, 2018
2018
Later among the works it cites.
2018
Later among the works it cites.
G. Montúfar, “Restricted Boltzmann Machines: Introduction and Review,” in Information Geometry and Its Applications , N. Ay, P. Gibilisco, and F. Matúš, Eds. Springer International Publishing, 2018
2018
Later among the works it cites.
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2010
Cited alongside, same era.
K. Temme, T. J. Osborne, K. G. H. Vollbrecht, D. Poulin, and F. Verstraete, “Quantum Metropolis Sampling,” Nature , vol. 471, 2011
2011
Cited alongside, same era.
R. Tibshirani, “Regression shrinkage and selection via the lasso: a retrospective,” Journal of the Royal Statistical Society: Series B (Statistical Methodology) , vol. 73, no. 3, 2011
2011
Cited alongside, same era.
F. Pedregosa, G. Varoquaux, A. Gramfort, V. Michel, B. Thirion, O. Grisel, M. Blondel, P. Prettenhofer, R. Weiss, V. Dubourg, J. Vanderplas, A. Passos, D. Cournapeau, M. Brucher, M. Perrot, and E. Duchesnay, “Scikit-learn: Machine learning in Python,” Journal of Machine Learning Research , vol. 12, 2011
2011
Cited alongside, same era.
K. P. Murphy, Machine learning: a probabilistic perspective . Cambridge, MA: MIT Press, 2012
2012
Cited alongside, same era.
A. Fischer and C. Igel, “An Introduction to Restricted Boltzmann Machines,” in Progress in Pattern Recognition, Image Analysis, Computer Vision, and Applications , L. Alvarez, M. Mejail, L. Gomez, and J. Jacobo, Eds. Springer Berlin Heidelberg, 2012
2012
Cited alongside, same era.
G. E. Hinton, “A Practical Guide to Training Restricted Boltzmann Machines,” in Neural Networks: Tricks of the Trade: Second Edition , G. Montavon, G. B. Orr, and K.-R. Müller, Eds. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012
2012
Cited alongside, same era.
A. Fischer and C. Igel, “An Introduction to Restricted Boltzmann Machines,” in Progress in Pattern Recognition, Image Analysis, Computer Vision, and Applications , L. Alvarez, M. Mejail, L. Gomez, and J. Jacobo, Eds. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012
2012
Cited alongside, same era.
2018
Later among the works it cites.
K. Mitarai, M. Negoro, M. Kitagawa, and K. Fujii, “Quantum circuit learning,” Phys. Rev. A , vol. 98, 2018
2018
Later among the works it cites.
P.-L. Dallaire-Demers and N. Killoran, “Quantum generative adversarial networks,” Phys. Rev. A , vol. 98, 2018
2018
Later among the works it cites.
R. Sashank J., K. Satyen, and K. Sanjiv, “On the Convergence of Adam and Beyond,” International Conference on Learning Representations , 2018
2018
Later among the works it cites.
K.-L. Du and M. N. S. Swamy, “Boltzmann Machines,” in Neural Networks and Statistical Learning . London: Springer London, 2019
2019
Later among the works it cites.
R. G. Melko, G. Carleo, J. Carrasquilla, and J. I. Cirac, “Restricted Boltzmann machines in quantum physics,” Nature Physics , vol. 15, no. 9, 2019
2019
Later among the works it cites.
J. Tubiana, S. Cocco, and R. Monasson, “Learning Compositional Representations of Interacting Systems with Restricted Boltzmann Machines: Comparative Study of Lattice Proteins,” Neural Computation , vol. 31, 2019
2019
Later among the works it cites.
2019
Later among the works it cites.
2019
Later among the works it cites.
2019
Later among the works it cites.
S. McArdle, T. Jones, S. Endo, Y. Li, S. C. Benjamin, and X. Yuan, “Variational ansatz-based quantum simulation of imaginary time evolution,” npj Quantum Information , vol. 5, no. 1, p. 75, 2019
2019
Later among the works it cites.
X. Yuan, S. Endo, Q. Zhao, S. Benjamin, and Y. Li, “Theory of variational quantum simulation,” Quantum , vol. 3, 191, 2019
2019
Later among the works it cites.
2019
Later among the works it cites.
F. G. S. L. Brandão and M. J. Kastoryano, “Finite Correlation Length Implies Efficient Preparation of Quantum Thermal States,” Communications in Mathematical Physics , vol. 365, no. 1, 2019
2019
Later among the works it cites.
M. Schuld, V. Bergholm, C. Gogolin, J. Izaac, and N. Killoran, “Evaluating analytic gradients on quantum hardware,” Phys. Rev. A , vol. 99, 2019
2019
Later among the works it cites.
C. Zoufal, A. Lucchi, and S. Woerner, “Quantum generative adversarial networks for learning and loading random distributions,” npj Quantum Information , vol. 5, no. 1, 2019
2019
Later among the works it cites.
G. Aleksandrowicz and et al., “Qiskit: An Open-source Framework for Quantum Computing,” 2019
2019
Later among the works it cites.
2019
Later among the works it cites.
E. Altman, “Synthesizing credit card transactions,” arXiv preprint - arXiv:1910.03033 , 2019
2019
Later among the works it cites.
2020
Closest in time.
M. Motta and et al., “Determining eigenstates and thermal states on a quantum computer using quantum imaginary time evolution,” Nature Physics , vol. 16, no. 2, 2020
2020
Closest in time.
2020
Closest in time.
2020
Closest in time.
P. Barkoutsos, G. Nannicini, A. Robert, I. Tavernelli, and S. Woerner, “Improving Variational Quantum Optimization using CVaR,” Quantum , vol. 4, 2020
2020
Closest in time.